제출 #1021944

#제출 시각아이디문제언어결과실행 시간메모리
1021944fv3Highway Tolls (IOI18_highway)C++14
51 / 100
203 ms262144 KiB
#include <bits/stdc++.h>	
#include "highway.h"
 
using namespace std;
typedef long long ll;

int edgeCnt;
vector<vector<pair<int, int>>> adj;

vector<pair<int, pair<int, int>>> edges;
void find_distances(int index, int last, int dist)
{
	dist += 1;
	for (auto node : adj[index])
	{
		if (node.first == last) continue;
		edges.push_back({dist, node});
		find_distances(node.first, index, dist);
	}
}

int find_S(ll dist)
{
	// Sort all edges by bfs_distance 
	// from arbitrary root node (0)	

	find_distances(0, 0, 0);
	sort(edges.begin(), edges.end());

	int l = 0, r = edgeCnt - 1;
	while (l < r)
	{
		int c = (l + r + 1) / 2;

		vector<int> w(edgeCnt);
		for (int i = c; i <= r; i++)
			w[edges[i].second.second] = 1;

		ll cur_dist = ask(w);
		if (cur_dist == dist)
			r = c - 1;
		else
			l = c;
	}

	return edges[l].second.first;
}

int bfs_dist;
vector<pair<int, int>> sus_edges;
void find_sus_edges(int index, int last, int dist)
{
	dist += 1;

	for (auto node : adj[index])
	{
		if (node.first == last) continue;
		if (dist == bfs_dist)
			sus_edges.push_back(node);
		else
			find_sus_edges(node.first, index, dist);
	}
}

int find_T(int root, ll dist)
{
	find_sus_edges(root, root, 0);

	int l = 0, r = sus_edges.size() - 1;
	while (l < r)
	{
		int c = (l + r + 1) / 2;

		vector<int> w(edgeCnt);
		for (int i = c; i <= r; i++)
			w[sus_edges[i].second] = 1;

		ll cur_dist = ask(w);
		if (cur_dist == dist)
			r = c - 1;
		else
			l = c;
	}

	return sus_edges[l].first;
}

void find_pair(int N, vector<int> U, vector<int> V, int A, int B) 
{
	edgeCnt = U.size();
	adj = vector<vector<pair<int, int>>>(N);
	for (int i = 0; i < edgeCnt; i++)
	{
		adj[U[i]].push_back({V[i], i});
		adj[V[i]].push_back({U[i], i});
	}

	ll dist = ask(vector<int>(edgeCnt));
	bfs_dist = dist / A;

	int S = find_S(dist);
	int T = find_T(S, dist);

	//cerr << "Guess: S = " << S << ", T = " << T << '\n';
	answer(S, T);
}
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